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Finding the Fourth Proportional to 458,936.96, 632,822.45 and 313,766.40

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Solution

The fourth proportional to 458,936.96, 632,822.45 and 313,766.40 is: 432,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,936.96 : 632,822.45 = 313,766.40 : x
  2. Step 2: Convert to fraction form
    458,936.96/632,822.45 = 313,766.40/x
  3. Step 3: Cross multiply
    458,936.96x = 632,822.45 × 313,766.40
  4. Step 4: Simplify right side
    458,936.96x = 198,558,420,406.85
  5. Step 5: Solve for x
    x = 198,558,420,406.85/458,936.96
  6. Step 6: Final answer
    x = 432,648.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.